Domain-wall boundaries through non-diagonal twists in the six-vertex model

TL;DR

This paper links the partition function of the six-vertex model with domain-wall boundaries to transfer matrix eigenvalues, expressing it as a determinant involving anti-periodic boundary conditions, advancing understanding of integrable models.

Contribution

It introduces a novel determinant representation of the partition function using eigenvalues of the anti-periodic six-vertex transfer matrix, extending previous results.

Findings

Partition function expressed as a determinant of eigenvalues.

Connection established between domain-wall boundaries and anti-periodic transfer matrix.

Provides a new computational approach for six-vertex model analysis.

Abstract

In this work we elaborate on a previous result relating the partition function of the six-vertex model with domain-wall boundary conditions to eigenvalues of a transfer matrix. More precisely, we express the aforementioned partition function as a determinant of a matrix with entries being eigenvalues of the anti-periodic six-vertex model's transfer matrix.